katiarowland2003 katiarowland2003
  • 06-09-2019
  • Mathematics
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Find the value of x and y so that the quadrilateral is a parallelogram.

Find the value of x and y so that the quadrilateral is a parallelogram class=

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sqdancefan
sqdancefan sqdancefan
  • 06-09-2019

Answer:

  none of the above

  x = 8, y = 6 . . . . . . . may be intended to match the first choice

Step-by-step explanation:

In order for the figure to be a parallelogram, the two marked angles must be congruent, as must be the two marked sides.

Angles:

  3y +5 = 6y -13

  18 = 3y . . . . . . . . . add 13-3y

  6 = y . . . . . makes the marked angles 23°

Sides:

  4x -17 = 2x -1

  2x = 16 . . . . . . . . . add 17-2x

  x = 8 . . . . . makes the marked sides 15 units

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